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Name ________________________________________ Date ________________ GEOMETRY Pd ______ CHAPTER 5 TEST : Your last test of the marking period! Date: Friday, January 13, 2012 HOW TO STUDY: - Make sure you look over Section 5.4 notes – the bottom of the front of the second page and the back of that page have excellent summaries of important vocabulary we have learned in this chapter. - Mr. Carell gave out foldable flashcards that you can study from. - Look over your CHAPTER REVIEW!!! You have had plenty of homework assignments and class work assignments with practice problems to study from. You should know that the circumcenter is formed from perpendicular bisectors, the incenter is formed from angle bisectors, the centroid is formed from medians, and the orthocenter is formed from altitudes. o To remember these associations, use this: Please Be Clear. Any Big Interruptions Make Carell All Obnoxious. Perpendicular Bisectors Centroid. Angle Bisectors Incenter Medians Centroid Altitudes Orthocenter. Notice that I used the word “Any” for Angle Bisectors, but “All” for Altitudes to help you remember which is which. - Problem Solving o (5.1) Make sure you can solve problems about midsegments such as the ones on your 5-1 worksheet. Be able to name parallel segments in a triangle with a midsegment. RULES: Midsegment is parallel to 3rd side. Midsegment is ½ the length of the 3rd side. o (5.2) Make sure you can solve problems about angle bisectors such as the ones on your notes from 5-2. RULE: A point on an angle bisector is EQUIDISTANT from the sides. o (All Sections) Be able to tell segments apart. We will give you pictures and ask whether a segment is a median, angle bisector, perpendicular bisector, altitude, etc. o (5.4) Be able to solve problems with a centroid. RULE: Medians come together at a point that divides the medians into 2/3 and 1/3 ratios. The larger segment is 2/3 of the whole median and the smaller segment is 1/3 of the whole median. TRICK: I’ll put in my 2 CENTS: The CENTroid creates a 2/3 to 1/3 ratio. o (5.5) Be able to list the angles of a triangle in order from least to greatest (or greatest to least) given its side lengths. Be able to also list the sides of a triangle in order from least to greatest (or greatest to least) given its angle measures. RULE: The largest angle is opposite the longest side. The shortest angle is opposite the shortest side. (Remember the inclass experiment with your hands and the example with the angles of a pair of scissors?) Be able to determine whether 3 side lengths would create a triangle. RULE: Any two side lengths must be greater than the third. o (5.6) Be able to write inequalities relating angle measures or side lengths. RULE: The largest angle is opposite the longest side. The shortest angle is opposite the shortest side. (Remember the in-class experiment with your hands?)